On the approximate analytic solution of some boundary value problems of convective diffusion. (Russian) Zbl 0561.76101

Fil’chakova, V. P.; Radchenko, A. O.; Rogal’, I. V.

Partial differential equations in applied problems, Collect. sci. Works, Kiev 1982, 78-81 (1982).

[For the entire collection see Zbl 0505.00015.]
Using a method based on direct methods as well as on power series there are constructed approximate solutions for model problems of a ground water pollution process by plane-vertical filtration. A simple algorithm for the solution of the problem is derived. The algorithm can be realized on a computer system.

MSC:

76Rxx	Diffusion and convection
76S05	Flows in porous media; filtration; seepage

Keywords:

convective diffusion; power series; approximate solutions; ground water pollution; plane-vertical filtration; algorithm